{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Match traj to hex"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from fmm import H3MM,hexs2wkt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "traj = \"LINESTRING (18.024101257324215 59.337523121884225, 18.03852081298828 59.34391321930451, 18.042125701904297 59.35353986273416, 18.056459426879883 59.36080179623859, 18.065214157104492 59.34964577662557)\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "hex_level = 9\n",
    "interpolate = False\n",
    "result = H3MM.match_wkt(traj, hex_level, interpolate)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0\n",
      "[618737091877535743, 618737091842146303, 618737091929178111, 618737091479863295, 618737091474358271]\n",
      "MULTIPOLYGON(((18.0228898614 59.3354770125,18.0215924168 59.3365311866,18.0216285645 59.3383172704,18.0229621748 59.3390492484,18.0242596721 59.3379950872,18.0242235064 59.3362089351,18.0228898614 59.3354770125)),((18.0375257823 59.3417433897,18.0362279618 59.3427977119,18.036264136 59.3445842599,18.0375981486 59.3453165539,18.0388960218 59.3442622446,18.0388598297 59.3424756284,18.0375257823 59.3417433897)),((18.0430068757 59.3518196531,18.0417088444 59.3528739237,18.0417449583 59.3546607271,18.0430791214 59.3553933281,18.0443772054 59.3543390705,18.0443410735 59.3525521988,18.0430068757 59.3518196531)),((18.057648911 59.3580921665,18.0563505038 59.3591465851,18.056386644 59.3609338529,18.0577212093 59.3616667704,18.0590196693 59.3606123647,18.0589835112 59.3588250286,18.057648911 59.3580921665)),((18.065330875 59.3464027176,18.0640324062 59.3474574216,18.0640686964 59.349244775,18.0654034733 59.3499774928,18.0667019948 59.3489228018,18.0666656867 59.3471353801,18.065330875 59.3464027176)))\n"
     ]
    }
   ],
   "source": [
    "print result.traj_id\n",
    "print list(result.hexs)\n",
    "print hexs2wkt(result.hexs)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Plot result"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline \n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib\n",
    "from shapely import wkt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_traj_hex(traj_geom, hex_geom, margin = 0.01):\n",
    "    fig,ax = plt.subplots(1,1,figsize=(6,4))\n",
    "    patches = []\n",
    "    tc = \"C1\"\n",
    "    hc = \"C4\"\n",
    "    x,y = traj_geom.xy\n",
    "    ax.plot(x,y,c=tc,marker=\"o\",ms=6,lw=2,markeredgewidth=4, markeredgecolor=tc)\n",
    "    for geom in hex_geom.geoms:\n",
    "        x,y = geom.exterior.xy\n",
    "        ax.fill(x, y, fc = hc, ec=\"w\",linewidth=2, alpha = 0.8)\n",
    "    ax.tick_params(axis='both',left=False, top=False, right=False, bottom=False, \n",
    "                   labelleft=False, labeltop=False, labelright=False, labelbottom=False)\n",
    "    minx, miny, maxx, maxy = traj_geom.envelope.buffer(margin).bounds\n",
    "    ax.set_xlim(minx,maxx)\n",
    "    ax.set_ylim(miny,maxy)\n",
    "#     ax.set_aspect(1.0)\n",
    "    return fig,ax"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "level = 8\n",
    "interpolate = False\n",
    "result = H3MM.match_wkt(traj, level, interpolate)\n",
    "traj_geom = wkt.loads(traj)\n",
    "hex_geom = wkt.loads(hexs2wkt(result.hexs))\n",
    "fig,ax = plot_traj_hex(traj_geom,hex_geom)\n",
    "# plt.tight_layout()\n",
    "ax.set_title(\"H{} Interpolate {}\".format(level,interpolate),fontsize=16)\n",
    "fig.savefig(\"h{}{}.png\".format(level,(\"\",\"i\")[interpolate]),dpi=300,bbox_inches='tight',pad_inches=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "level = 9\n",
    "interpolate = True\n",
    "result = H3MM.match_wkt(traj, level, interpolate)\n",
    "traj_geom = wkt.loads(traj)\n",
    "hex_geom = wkt.loads(hexs2wkt(result.hexs))\n",
    "fig,ax = plot_traj_hex(traj_geom,hex_geom,margin=0.005)\n",
    "ax.set_title(\"H{} Interpolate {}\".format(level,interpolate),fontsize=16)\n",
    "fig.savefig(\"h{}{}.png\".format(level,(\"\",\"i\")[interpolate]),dpi=300,bbox_inches='tight',pad_inches=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "level = 8\n",
    "interpolate = True\n",
    "result = H3MM.match_wkt(traj, level, interpolate)\n",
    "traj_geom = wkt.loads(traj)\n",
    "hex_geom = wkt.loads(hexs2wkt(result.hexs))\n",
    "fig,ax = plot_traj_hex(traj_geom,hex_geom)\n",
    "ax.set_title(\"H{} Interpolate {}\".format(level,interpolate),fontsize=16)\n",
    "fig.savefig(\"h{}{}.png\".format(level,(\"\",\"i\")[interpolate]),dpi=300,bbox_inches='tight',pad_inches=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "level = 7\n",
    "interpolate = True\n",
    "result = H3MM.match_wkt(traj, level, interpolate)\n",
    "traj_geom = wkt.loads(traj)\n",
    "hex_geom = wkt.loads(hexs2wkt(result.hexs))\n",
    "fig,ax = plot_traj_hex(traj_geom,hex_geom,margin=0.03)\n",
    "ax.set_title(\"H{} Interpolate {}\".format(level,interpolate),fontsize=16)\n",
    "fig.savefig(\"h{}{}.png\".format(level,(\"\",\"i\")[interpolate]),dpi=300,bbox_inches='tight',pad_inches=0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Plot as a whole"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "levels = [8, 8, 9, 7]\n",
    "interpolates = [False, True, True, True]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x439.2 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig,axes = plt.subplots(2,2,figsize=(8,6.1))\n",
    "patches = []\n",
    "tc = \"C1\"\n",
    "hc = \"C4\"\n",
    "for level,interpolate,ax in zip(levels,interpolates,axes.flatten()):\n",
    "    result = H3MM.match_wkt(traj, level, interpolate)\n",
    "    traj_geom = wkt.loads(traj)\n",
    "    hex_geom = wkt.loads(hexs2wkt(result.hexs))\n",
    "    x,y = traj_geom.xy\n",
    "    ax.plot(x,y,c=tc,marker=\"o\",ms=5,lw=2,markeredgewidth=4)\n",
    "    for geom in hex_geom.geoms:\n",
    "        x,y = geom.exterior.xy\n",
    "        ax.fill(x, y, fc = hc, ec=\"w\",linewidth=2, alpha = 0.8)\n",
    "    ax.tick_params(axis='both',left=False, top=False, right=False, bottom=False, \n",
    "                   labelleft=False, labeltop=False, labelright=False, labelbottom=False)\n",
    "    ax.set_aspect(1.0)\n",
    "    ax.set_title(\"H{} {}\".format(level,(\"\",\"Interpolate\")[interpolate]),position=(0.5, 0.9),fontsize=16)\n",
    "    minx, miny, maxx, maxy = traj_geom.envelope.buffer(0.015).bounds\n",
    "    yoffset = 0.003\n",
    "    ax.set_xlim(minx,maxx)\n",
    "    ax.set_ylim(miny+yoffset,maxy+yoffset)\n",
    "plt.tight_layout()\n",
    "plt.subplots_adjust(wspace=0, hspace=0)\n",
    "fig.savefig(\"h3demo.png\",dpi=300,bbox_inches='tight',pad_inches=0)    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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